On Regularization of γ-Generating Pairs

AbstractThis paper gives an affirmative answer to one of D. Sarason′s questions concerning the exposed points in H1. Namely, one can infer nothing special about a from the knowledge that (a, b) is a Nehari Pair. The proof essentially uses D. Z. Arov′s concept of A-regular and A-singular j-inner matrix-functions and is based on an analysis of V. Katsnelson′s results on their regularization